Nonequilibrium temperatures, heat waves, and nonlinear heat transport equations

2010 ◽  
Vol 81 (5) ◽  
Author(s):  
V. A. Cimmelli ◽  
A. Sellitto ◽  
D. Jou
Keyword(s):  
Heat Transport ◽  
Heat Waves ◽  
Transport Equations

scholarly journals Two-dimensional phonon hydrodynamics in narrow strips

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150376 ◽  
Author(s):  
A. Sellitto ◽  
I. Carlomagno ◽  
D. Jou
Keyword(s):  
Heat Flow ◽  
Heat Transport ◽  
Knudsen Number ◽  
Slip Flow ◽  
Transport Equations ◽  
Two Dimensional ◽  
Non Local

Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

Fully discrete Tau solution for some types of non-local heat transport equations

2017 ◽  
Vol 97 (12) ◽  
pp. 2142-2156
Author(s):  
Malihe Shaban ◽  
Saeed Kazem ◽  
Elyas Shivanian
Keyword(s):  
Heat Transport ◽  
Local Heat ◽  
Transport Equations ◽  
Fully Discrete ◽  
Non Local
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